Acting because of and for reasons

It seems that:

1. If you pursue friendship because friendship is non-instrumentally valuable, then you pursue friendship non-instrumentally.

But not so. Imagine a rich eccentric offers you $10,000 to pursue something that is non-instrumentally valuable. You think about it, correctly decide friendship is non-instrumentally valuable, and pursue it to gain the $10,000. You are pursuing friendship because it is non-instrumentally valuable, but you are pursuing it merely instrumentally.

More generally, is there any conditional of the form:

2. If you pursue friendship because p, then you pursue friendship non-instrumentally

that is true in all cases, where p states some known reason for the pursuit of friendship? I don’t think so. For the rich eccentric can tell you that you will get $10,000 if it is both the case that p and you pursue friendship. In that case, if you know that it is the case that p, then your reason for pursuing friendship is p, since it is given p, and only given p, that you will get $10,000 for your pursuit of friendship.

Maybe the lesson from the above is that there is a difference between doing something because of a reason and doing it for the reason. That friendship is non-instrumentally valuable is a reason. In the first rich eccentric case, you are pursuing because of that reason, but you are not pursuing it for that reason. Thus maybe we can say:

3. If you pursue friendship for the reason that friendship is non-instrumentally valuable, then you pursue friendship non-instrumentally.

In the case where you are aiming only at the $10,000, you are pursuing friendship for the reason that pursuing friendship will get you $10,000, or more explicitly for the conjunctive reason that (a) if friendship is non-instrumentally valuable it will get you $10,000 to pursue it and (b) it is non-instrumentally valuable. But you are nonetheless pursuing friendship because it is non-instrumentally valuable.

There is thus a rather mysterious “acting for R” relation in regard to actions which does not reduce to “acting because R”.